Holomorphic geometric structures on Oeljeklaus–Toma manifolds

We prove that any holomorphic geometric structure of affine type on an Oeljeklaus–Toma manifold is locally homogeneous. For locally conformally Kähler Oeljeklaus–Toma manifolds we prove that all holomorphic geometric structures, and also all holomorphic Cartan geometries, on them are locally homogen...

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Veröffentlicht in:	Manuscripta mathematica 2024-11, Vol.175 (3-4), p.1105-1117
Hauptverfasser:	Biswas, Indranil, Dumitrescu, Sorin
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Calculus of Variations and Optimal Control Optimization Geometry Lie Groups Mathematics Mathematics and Statistics Number Theory Topological Groups
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Zusammenfassung:	We prove that any holomorphic geometric structure of affine type on an Oeljeklaus–Toma manifold is locally homogeneous. For locally conformally Kähler Oeljeklaus–Toma manifolds we prove that all holomorphic geometric structures, and also all holomorphic Cartan geometries, on them are locally homogeneous.
ISSN:	0025-2611 1432-1785
DOI:	10.1007/s00229-024-01594-8